Lifshitz Singularities
arXiv:1111.1243 · doi:10.1103/PhysRevD.85.046008
Abstract
Lifshitz spacetimes are possible gravitational duals to strongly coupled field theories with an anisotropic scaling symmetry. These spacetimes however, have a null curvature singularity. We find that higher dimensional embeddings of Lifshitz also have a similar singularity. We study the propagation of test strings in this background and find that they become infinitely excited if they try to propagate through the singularity. This means that the Lifshitz geometry is unstable and will receive large corrections in string theory.
14 pages; v2: comment added
References in corpus (11)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Non-relativistic holography
- Black holes in asymptotically Lifshitz spacetime
- Electron stars for holographic metallic criticality
- Lifshitz Solutions of D=10 and D=11 supergravity
- Wrapped M5-branes, consistent truncations and AdS/CMT
- Constructing Lifshitz solutions from AdS
- Lifshitz solutions in supergravity and string theory
- Pathologies in Asymptotically Lifshitz Spacetimes
- 1/N Effects in Non-Relativistic Gauge-Gravity Duality
- Special limits and non-relativistic solutions
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